05391nam 2200697 a 450 99621250500331620210209180939.01-118-58577-11-280-51749-297866105174970-470-30315-80-471-74882-X0-471-74881-1(CKB)1000000000355887(EBL)266952(OCoLC)84733483(SSID)ssj0000145361(PQKBManifestationID)11147605(PQKBTitleCode)TC0000145361(PQKBWorkID)10156567(PQKB)10302537(MiAaPQ)EBC266952(MiAaPQ)EBC4036519(Au-PeEL)EBL4036519(CaPaEBR)ebr11111111(OCoLC)958543438(PPN)175212368(EXLCZ)99100000000035588720050419d2006 uy 0engur|n|---|||||txtccrElements of information theory[electronic resource] /Thomas M. Cover, Joy A. Thomas2nd ed.Hoboken, N.J. Wiley-Intersciencec20061 online resource (774 p.)Description based upon print version of record.0-471-24195-4 Includes bibliographical references (p. 689-721) and index.ELEMENTS OF INFORMATION THEORY; CONTENTS; Preface to the Second Edition; Preface to the First Edition; Acknowledgments for the Second Edition; Acknowledgments for the First Edition; 1 Introduction and Preview; 1.1 Preview of the Book; 2 Entropy, Relative Entropy, and Mutual Information; 2.1 Entropy; 2.2 Joint Entropy and Conditional Entropy; 2.3 Relative Entropy and Mutual Information; 2.4 Relationship Between Entropy and Mutual Information; 2.5 Chain Rules for Entropy, Relative Entropy, and Mutual Information; 2.6 Jensen's Inequality and Its Consequences2.7 Log Sum Inequality and Its Applications2.8 Data-Processing Inequality; 2.9 Sufficient Statistics; 2.10 Fano's Inequality; Summary; Problems; Historical Notes; 3 Asymptotic Equipartition Property; 3.1 Asymptotic Equipartition Property Theorem; 3.2 Consequences of the AEP: Data Compression; 3.3 High-Probability Sets and the Typical Set; Summary; Problems; Historical Notes; 4 Entropy Rates of a Stochastic Process; 4.1 Markov Chains; 4.2 Entropy Rate; 4.3 Example: Entropy Rate of a Random Walk on a Weighted Graph; 4.4 Second Law of Thermodynamics; 4.5 Functions of Markov Chains; SummaryProblemsHistorical Notes; 5 Data Compression; 5.1 Examples of Codes; 5.2 Kraft Inequality; 5.3 Optimal Codes; 5.4 Bounds on the Optimal Code Length; 5.5 Kraft Inequality for Uniquely Decodable Codes; 5.6 Huffman Codes; 5.7 Some Comments on Huffman Codes; 5.8 Optimality of Huffman Codes; 5.9 Shannon-Fano-Elias Coding; 5.10 Competitive Optimality of the Shannon Code; 5.11 Generation of Discrete Distributions from Fair Coins; Summary; Problems; Historical Notes; 6 Gambling and Data Compression; 6.1 The Horse Race; 6.2 Gambling and Side Information; 6.3 Dependent Horse Races and Entropy Rate6.4 The Entropy of English6.5 Data Compression and Gambling; 6.6 Gambling Estimate of the Entropy of English; Summary; Problems; Historical Notes; 7 Channel Capacity; 7.1 Examples of Channel Capacity; 7.1.1 Noiseless Binary Channel; 7.1.2 Noisy Channel with Nonoverlapping Outputs; 7.1.3 Noisy Typewriter; 7.1.4 Binary Symmetric Channel; 7.1.5 Binary Erasure Channel; 7.2 Symmetric Channels; 7.3 Properties of Channel Capacity; 7.4 Preview of the Channel Coding Theorem; 7.5 Definitions; 7.6 Jointly Typical Sequences; 7.7 Channel Coding Theorem; 7.8 Zero-Error Codes7.9 Fano's Inequality and the Converse to the Coding Theorem7.10 Equality in the Converse to the Channel Coding Theorem; 7.11 Hamming Codes; 7.12 Feedback Capacity; 7.13 Source-Channel Separation Theorem; Summary; Problems; Historical Notes; 8 Differential Entropy; 8.1 Definitions; 8.2 AEP for Continuous Random Variables; 8.3 Relation of Differential Entropy to Discrete Entropy; 8.4 Joint and Conditional Differential Entropy; 8.5 Relative Entropy and Mutual Information; 8.6 Properties of Differential Entropy, Relative Entropy, and Mutual Information; Summary; Problems; Historical Notes9 Gaussian ChannelThe latest edition of this classic is updated with new problem sets and materialThe Second Edition of this fundamental textbook maintains the book's tradition of clear, thought-provoking instruction. Readers are provided once again with an instructive mix of mathematics, physics, statistics, and information theory.All the essential topics in information theory are covered in detail, including entropy, data compression, channel capacity, rate distortion, network information theory, and hypothesis testing. The authors provide readers with a solid understanding of the underlying tInformation theoryInformation theory.003.54003/.54Cover T. M.1938-2012.7921Thomas Joy A7922MiAaPQMiAaPQMiAaPQBOOK996212505003316Elements of information theory43423UNISA02649nam 22005053 450 991015510690332120230322084602.097814258964611425896464(CKB)3710000000973153(MiAaPQ)EBC30374879(Au-PeEL)EBL30374879(BIP)055252287(Exl-AI)30374879(OCoLC)966564006(EXLCZ)99371000000097315320230322d2016 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierLeveled Texts for Second Grade1st ed.Huntington Beach, CA :Shell Educational Publishing,2016.©2016.1 online resource (147 pages)Leveled Texts9781425816292 1425816290 Cover -- Credits -- Page 3 - Table of Contents -- Page 4 - What Is Differentiation? -- Page 5 - How to Differentiate Using This Product -- Page 6 - General Information about Student Populations -- Page 8 - How to Use This Product -- Page 11-16 - What Are Rainforests? -- Page 17-22 - Dr. Martin Luther King Jr -- Page 23-28 - Sarah’s Journal -- Page 29-34 - Your Guide to Superheroes -- Page 35-40 - The World’s Fastest Computer -- Page 41-46 - Lots of Boxes -- Page 47-52 - Planning a Harvest Lunch -- Page 53-58 - Getting Around on the Water -- Page 59-64 - Markets in India -- Page 65-70 - City Gardens -- Page 71-76 - Water! -- Page 77-82 - What Makes a Habitat? -- Page 83-88 - Pollination -- Page 89-94 - Rocks and Minerals -- Page 95-100 - Solids -- Page 101-106 - Rules to Live By -- Page 107-112 - Trade Today -- Page 113-118 - Lead the Way! -- Page 119-124 - Using Maps -- Page 125-130 - Young Abigail Adams -- Page 131 - Appendix A: References Cited -- Page 132 - Appendix B: Strategies for Using the Leveled Texts -- Page 132 - Below-Grade-Level StudentsGenerated by AI.Designed for teachers instructing a class with differing reading abilities, this extensive series addresses the need for reading material that covers every learner.Leveled TextsSecond grade (Education)Generated by AIIndividualized instructionGenerated by AISecond grade (Education)Individualized instructionEducation Shell1339508MiAaPQMiAaPQMiAaPQBOOK9910155106903321Leveled Texts for Second Grade3062390UNINA